gate syllabusee.pdf

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Graduate Aptitude Test in Engineering GATE 2014 Brochur

5.5.11 Electrical Engineering (EE)

Engineering Mathematics

Linear Algebra: Matrix Algebra, Systems of linear equations, Eigen values and eigen

vectors.

Calculus: Mean value theorems, Theorems of integral calculus, Evaluation of definiteand improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals,

Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume

integrals, Stokes, Gauss and Greens theorems.

Differential equations: First order equation (linear and nonlinear), Higher order linear

differential equations with constant coefficients, Method of variation of parameters,

Cauchys and Eulers equations, Initial and boundary value problems, Partial Differential

Equations and variable separable method.

Complex variables: Analytic functions, Cauchys integral theorem and integral formula,

Taylors and Laurent series, Residue theorem, solution integrals.

Probability and Statistics: Sampling theorems, Conditional probability, Mean, median,

mode and standard deviation, Random variables, Discrete and continuous distributions,

Poisson, Normal and Binomial distribution, Correlation and regression analysis.

Numerical Methods: Solutions of non-linear algebraic equations, single and multi-step

methods for differential equations.

Transform Theory: Fourier transform, Laplace transform, Z-transform.

Electrical Engineering

Electric Circuits and Fields: Network graph, KCL, KVL, node and mesh analysis,

transient response of dc and ac networks; sinusoidal steady-state analysis, resonance,

basic filter concepts; ideal current and voltage sources, Thevenins, Nortons and

Superposition and Maximum Power Transfer theorems, two-port networks, three phase

circuits; Gauss Theorem, electric field and potential due to point, line, plane and

spherical charge distributions; Amperes and Biot-Savarts laws; inductance; dielectrics;

capacitance.

Signals and Systems: Representation of continuous and discrete-time signals; shifting

and scaling operations; linear, time-invariant and causal systems; Fourier series

representation of continuous periodic signals; sampling theorem; Fourier, Laplace and Ztransforms.

Electrical Machines: Single phase transformer equivalent circuit, phasor diagram,

tests, regulation and efficiency; three phase transformers connections, parallel

operation; auto-transformer; energy conversion principles; DC machines types,

windings, generator characteristics, armature reaction and commutation, starting and

speed control of motors; three phase induction motors principles, types, performance

characteristics, starting and speed control; single phase induction motors; synchronous

machines performance, regulation and parallel operation of generators, motor

starting, characteristics and applications; servo and stepper motors.

Power Systems: Basic power generation concepts; transmission line models and

performance; cable performance, insulation; corona and radio interference; distribution


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Graduate Aptitude Test in Engineering GATE 2014 Brochur

analysis; principles of over-current, differential and distance protection; solid state

relays and digital protection; circuit breakers; system stability concepts, swing curves

and equal area criterion; HVDC transmission and FACTS concepts.

Control Systems: Principles of feedback; transfer function; block diagrams; steady-state

errors; Routh and Niquist techniques; Bode plots; root loci; lag, lead and lead-lag

compensation; state space model; state transition matrix, controllability and

observability.

Electrical and Electronic Measurements: Bridges and potentiometers; PMMC, moving

iron, dynamometer and induction type instruments; measurement of voltage, current,

power, energy and power factor; instrument transformers; digital voltmeters and

multimeters; phase, time and frequency measurement; Q-meters; oscilloscopes;

potentiometric recorders; error analysis.

Analog and Digital Electronics: Characteristics of diodes, BJT, FET; amplifiers

biasing, equivalent circuit and frequency response; oscillators and feedback amplifiers;

operational amplifiers characteristics and applications; simple active filters; VCOs and

timers; combinational and sequential logic circuits; multiplexer; Schmitt trigger; multi-

vibrators; sample and hold circuits; A/D and D/A converters; 8-bit microprocessor

basics, architecture, programming and interfacing.

Power Electronics and Drives: Semiconductor power diodes, transistors, thyristors,

triacs, GTOs, MOSFETs and IGBTs static characteristics and principles of operation;

triggering circuits; phase control rectifiers; bridge converters fully controlled and half

controlled; principles of choppers and inverters; basis concepts of adjustable speed dc

and ac drives.

5.5.12 Ecology and Evolution (EY)

Ecology: Population ecology; metapopulation dynamics; growth rates; densityindependent growth; density dependent growth; niche concept;

Species interactions: Plant-animal interactions; mutualism, commensalism, competition

and predation; trophic interactions; functional ecology; ecophysiology; behavioural

ecology;

Community ecology: Community assembly, organization and evolution; biodiversity:

species richness, evenness and diversity indices; endemism; species-area relationships;

Ecosystem structure, function and services; nutrient cycles; biomes; habitat ecology;

primary and secondary productivity; invasive species; global and climate change;

applied ecology.

Evolution: Origin, evolution and diversification of life; natural selection; levels ofselection.

Types of selection (stabilizing, directional etc.); sexual selection; genetic drift; gene flow;

adaptation; convergence; species concepts;

Life history strategies; adaptive radiation; biogeography and evolutionary ecology;

Origin of genetic variation; Mendelian genetics; polygenic traits, linkage and

recombination; epistasis, gene-environment interaction; heritability; populationgenetics;


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gate syllabusee.pdf

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